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### College Physics (Urone)

Book edition 1st Edition
Author(s) Paul Peter Urone
Pages 1272 pages
ISBN 9781938168000

# How does modern relativity modify the law of conservation of momentum?

Relativistic momentum $${\rm{p}}$$ is said to be the classical momentum which is multiplied by the relativistic factor $${\rm{ y}}$$.

See the step by step solution

## Step 1: Define Special Relativity

The special theory of relativity, sometimes known as special relativity, is a physical theory that describes how space and time interact. Theoretically, this is known as STR theory.

## Step 2: Explanation

The equation $${\rm{p = mv}}$$ is the classical momentum formula. Instead of the velocity of the frame $${\rm{v}}$$ used in classical physics, contemporary relativity modified the momentum to $${\rm{p = \gamma mu}}$$.

Here, $${\rm{\gamma = }}\frac{{\rm{1}}}{{\sqrt {{\rm{1 - }}\frac{{{{\rm{v}}^{\rm{2}}}}}{{{{\rm{c}}^{\rm{2}}}}}} }}$$ and $${\rm{u}}$$ is the velocity of the moving object relative to an observer.

Therefore, Classical momentum is multiplied by the relativistic factor$${\rm{ y}}$$ to get relativistic momentum $${\rm{p}}$$.